Atkin-Lehner |
2- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
116272w |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1233792 |
Modular degree for the optimal curve |
Δ |
-1500462965344698368 = -1 · 233 · 133 · 433 |
Discriminant |
Eigenvalues |
2- 1 0 -3 3 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2232,-58933900] |
[a1,a2,a3,a4,a6] |
j |
136590875/166738264064 |
j-invariant |
L |
1.4795850192775 |
L(r)(E,1)/r! |
Ω |
0.12329877483677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14534c1 116272v1 |
Quadratic twists by: -4 13 |